scholarly journals MAXIMUM LIKELIHOOD ESTIMATION OF THE NUMBER OF NUCLEOTIDE SUBSTITUTIONS FROM RESTRICTION SITES DATA

Genetics ◽  
1983 ◽  
Vol 105 (1) ◽  
pp. 207-217
Author(s):  
Masatoshi Nei ◽  
Fumio Tajima
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Iteration Method ◽  
Maximum Likelihood Method ◽  
Likelihood Estimation ◽  
Restriction Enzymes ◽  
Likelihood Method ◽  
Nucleotide Substitutions ◽  
Simple Method ◽  
Restriction Sites

ABSTRACT A simple method of the maximum likelihood estimation of the number of nucleotide substitutions is presented for the case where restriction sites data from many different restriction enzymes are available. An iteration method, based on nucleotide counting, is also developed. This method is simpler than the maximum likelihood method but gives the same estimate. A formula for computing the variance of a maximum likelihood estimate is also presented.

Demonstration of the Robustness of Maximum Likelihood Estimation to Distinguish Mixtures of Two Weibull Populations in Failure Data of Brittle Materials

2010 ◽  
Vol 636-637 ◽  
pp. 1443-1450 ◽  
Author(s):  
Luís Guerra Rosa ◽  
Ivone Figueiredo
Keyword(s):  
Statistical Analysis ◽  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Maximum Likelihood Method ◽  
Brittle Materials ◽  
Maximum Likelihood Estimators ◽  
Likelihood Estimation ◽  
Likelihood Method ◽  
Weibull Parameters ◽  
Failure Data

In statistical analysis of failure data of brittle materials, the use of maximum likelihood estimators shows many advantages compared to other methods. The applicability and the robustness of the maximum likelihood method to analyze and to distinguish the data in several mixtures of two Weibull populations is demonstrated in this work. Estimations of percentage of data belonging to each of the populations, as well as Weibull parameters of the populations, are relatively simple to be conducted using adequate software.

Maximum likelihood estimation of an across-regime correlation parameter

2021 ◽  
Vol 21 (2) ◽  
pp. 430-461
Author(s):  
Giorgio Calzolari ◽  
Maria Gabriella Campolo ◽  
Antonino Di Pino ◽  
Laura Magazzini
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Maximum Likelihood Method ◽  
Likelihood Estimation ◽  
Regression Coefficients ◽  
Likelihood Method ◽  
Correlation Parameter ◽  
Switching Model ◽  
Endogenous Switching ◽  
Estimation Procedures

In this article, we describe the mlcar command, which implements a maximum likelihood method to simultaneously estimate the regression coefficients of a two-regime endogenous switching model and the coefficient measuring the correlation of outcomes between the two regimes. This coefficient, known as the “across-regime” correlation parameter, is generally unidentified in the traditional estimation procedures.

The Poisson Nadarajah–Haghighi Distribution: Properties and Applications to Lifetime Data

2019 ◽  
Vol 27 (01) ◽  
pp. 2050005
Author(s):  
Muhammad Mansoor ◽  
M. H. Tahir ◽  
Aymaan Alzaatreh ◽  
Gauss M. Cordeiro
Keyword(s):  
Maximum Likelihood ◽  
Censored Data ◽  
Survival Data ◽  
Maximum Likelihood Method ◽  
Likelihood Estimation ◽  
Real Data ◽  
Likelihood Method ◽  
Lifetime Data ◽  
Monte Carlo Simulation Study ◽  
Mathematical Properties

A new three-parameter compounded extended-exponential distribution “Poisson Nadarajah–Haghighi” is introduced and studied, which is quite flexible and can be used effectively in modeling survival data. It can have increasing, decreasing, upside-down bathtub and bathtub-shaped failure rate. A comprehensive account of the mathematical properties of the model is presented. We discuss maximum likelihood estimation for complete and censored data. The suitability of the maximum likelihood method to estimate its parameters is assessed by a Monte Carlo simulation study. Four empirical illustrations of the new model are presented to real data and the results are quite satisfactory.

scholarly journals Maximum Likelihood Estimation for Three-Parameter Weibull Distribution Using Evolutionary Strategy

2019 ◽  
Vol 2019 ◽  
pp. 1-8 ◽  
Author(s):  
Fan Yang ◽  
Hu Ren ◽  
Zhili Hu
Keyword(s):  
Parameter Estimation ◽  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Weibull Distribution ◽  
Likelihood Function ◽  
Likelihood Estimation ◽  
Estimation Procedure ◽  
Evolutionary Strategy ◽  
Likelihood Method ◽  
Conventional Algorithm

The maximum likelihood estimation is a widely used approach to the parameter estimation. However, the conventional algorithm makes the estimation procedure of three-parameter Weibull distribution difficult. Therefore, this paper proposes an evolutionary strategy to explore the good solutions based on the maximum likelihood method. The maximizing process of likelihood function is converted to an optimization problem. The evolutionary algorithm is employed to obtain the optimal parameters for the likelihood function. Examples are presented to demonstrate the proposed method. The results show that the proposed method is suitable for the parameter estimation of the three-parameter Weibull distribution.

scholarly journals New Extension of Weibull Distribution: Copula, Mathematical Properties and Data Modeling

2020 ◽  
Vol 8 (4) ◽  
pp. 972-993
Author(s):  
Hanaa Elgohari ◽  
Haitham Yousof
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Method ◽  
Likelihood Estimation ◽  
Likelihood Method ◽  
Model Parameters ◽  
Graphical Simulation ◽  
Mathematical Properties ◽  
Exponentiated Weibull ◽  
Lifetime Model ◽  
Simulation Results

This paper introduces a new flexible four-parameter lifetime model. Various of its structural properties are derived. The new density is expressed as a linear mixture of well-known exponentiated Weibull density. The maximum likelihood method is used to estimate the model parameters. Graphical simulation results to assess the performance of the maximum likelihood estimation are performed. We proved empirically the importance and flexibility of the new model in modeling four various types of data.

scholarly journals Improved Maximum Likelihood Estimation of Heston Model and Pricing Efficiency Test: Hong Kong Hang Seng Index Option

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Huan Wang ◽  
Bin Song ◽  
Dongmei Guo
Keyword(s):  
Parameter Estimation ◽  
Maximum Likelihood ◽  
Maximum Likelihood Method ◽  
Likelihood Estimation ◽  
Heston Model ◽  
Likelihood Method ◽  
Pricing Error ◽  
Efficiency Test ◽  
One Year ◽  
Index Option

This paper selects improved maximum likelihood method to conduct parameter estimation of Heston model, and results show that the share option pricing performance of Hang Seng Index is better and pricing error of at-the-money options is the smallest. By comparing parameter estimation of samples in different intervals, it has been found that parameter estimated results of two-year market data are obviously inferior to estimated effect of one-year data.

scholarly journals Modified generalized marshall-olkin family of distributions

2019 ◽  
Vol 7 (1) ◽  
pp. 18
Author(s):  
Muhammad Aslam ◽  
Zawar Hussain ◽  
Zahid Asghar
Keyword(s):  
Maximum Likelihood ◽  
Goodness Of Fit ◽  
Maximum Likelihood Method ◽  
Likelihood Estimation ◽  
Likelihood Method ◽  
Model Parameters ◽  
Data Sets ◽  
Goodness Of Fit Tests ◽  
New Family ◽  
Family Of Distributions

In this article, we propose a new family of distributions using the T-X family named as modified generalized Marshall-Olkin family of distributions. Comprehensive mathematical and statistical properties of this family of distributions are provided. The model parameters are estimated by maximum likelihood method. The maximum likelihood estimation under Type-II censoring is also discussed. Two lifetime data sets are used to show the suitability and applicability of the new family of distributions. For comparison purposes, different goodness of fit tests are used.  

scholarly journals An improved geometric algorithm for indoor localization

2018 ◽  
Vol 14 (3) ◽  
pp. 155014771876737 ◽  
Author(s):  
Junhua Yang ◽  
Yong Li ◽  
Wei Cheng
Keyword(s):  
Maximum Likelihood ◽  
Iteration Method ◽  
Indoor Environment ◽  
Maximum Likelihood Method ◽  
Indoor Localization ◽  
Signal Strength ◽  
Receive Signal ◽  
Receive Signal Strength ◽  
Likelihood Method ◽  
Receive Signal Strength Indicator

Indoor localization system using receive signal strength indicator from wireless access point has attracted lots of attention recently. Geometric method is one of the most widely used spatial graph algorithms to locate object in an indoor environment, but it does not achieve good results when it is applied to a limited amount of valid data, especially when using the trilateration method. On the other hand, localization based on fingerprint can achieve high accuracy but need to pay heavy manual labor for fingerprint database establishment. In this article, we propose a bilateral greed iteration localization method based on greedy algorithm in order to use all of the effective anchor points. Comparing to trilateration, fingerprint, and maximum-likelihood method, the bilateral greed iteration method improves the localization accuracy and reduces complexity of localization process. The method proposed, coupled with measurements in a real indoor environment, demonstrates its feasibility and suitability, since it outperforms trilateration and maximum-likelihood receive signal strength indicator–based indoor location methods without using any radio map information nor a complicated algorithm. Extensive experiment results in a Wi-Fi coverage office environment indicate that the proposed bilateral greed iteration method reduces the localization error, 63.55%, 9.93%, and 47.85%, compared to trilateration, fingerprint, and maximum-likelihood method, respectively.

scholarly journals The Odd Log-Logistic Dagum Distribution: Properties and Applications

2018 ◽  
Vol 41 (1) ◽  
pp. 109-135 ◽  
Author(s):  
Filippo Domma ◽  
Abbas Eftekharian ◽  
Ahmed Afify ◽  
Morad Alizadeh ◽  
Indranil Ghosh
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Method ◽  
Likelihood Estimation ◽  
Real Data ◽  
Failure Criteria ◽  
Likelihood Method ◽  
Model Parameters ◽  
New Model ◽  
Dagum Distribution ◽  
Lifetime Model

This paper introduces a new four-parameter lifetime model called the odd log-logistic Dagum distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. We derive some structural properties of the model odd log-logistic Dagum such as order statistics and incomplete moments. The maximum likelihood method is used to estimate the model parameters. Simulation results to assess the performance of the maximum likelihood estimation are discussed. We prove empirically the importance and flexibility of the new model in modeling real data.

Serology, genetics and nomenclature of the M-N-S types

1954 ◽  
Vol 3 (3) ◽  
pp. 314-321 ◽  
Author(s):  
Alexander S. Wiener
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Method ◽  
Likelihood Method ◽  
Full Description ◽  
Simple Method ◽  
Multiple Alleles ◽  
Linked Gene ◽  
New Gene ◽  
S Genes ◽  
Gene Symbols

SummaryThe symbols for trie 4 allelic M-N-S genes in common use, namely, MS, Ms, NS, and Ns, are satisfactory only if one subscribes to the theory of linked gene couplets, but not for those who, like the present author, believe that the theory of multiple alleles is valid. Therefore, it is proposed to designate the 4 allelic genes by the symbols Ls, L ls and l, respectively. These symbols are easy to learn and to use, if one bears in mind that L stands for the presence of blood factor M in the corresponding agglutinogen, and l for the presence of blood factor N. Similarly the letter S in the superscript stands for the presence of blood factor S in the corresponding agglutinogen, while the absence of any superscript denotes the presence of blood factor s. It is unnecessary to change the names of the phenotypes. This is fortunate, since duplication of nomenclature is avoided, such as exists unnecessarily in the case of the Rh-Hr types. The purpose of a phenotype name is to identify and not to provide a full description, or to indicate the genetic mechanism. For this reason, the phenotype designations of the M-N-S types should be the same, regardless of the genetic theory to which one subscribes.The practicability of the new gene symbols for the M-N-S types is demonstrated by applying them to a sample mating. A simple method of estimating the frequencies of the 4 allelic M-N-S genes is also described. These formulae are applied to Boyd's data on the distribution of the M-N-S types among 230 Bengalis. The results obtained do not differ significantly from those obtained by the more complex maximum likelihood method. Since the maximum likelihood method does not improve the accuracy of the estimates, the additional effort and skill which is required are wasted. The simple formulae proposed here yield results which fulfill all the requirements of anthropologists and geneticists.

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